Herglotz functions and applications in electromagnetics
Book chapter, 2021

Herglotz functions inevitably appear in pure mathematics, mathematical physics, and engineering with a wide range of applications. In particular, they are the pertinent functions to model passive systems, and thus appear in modeling of electromagnetic phenomena in circuits, antennas, materials, and scattering. In this chapter, we review the basic theory of Herglotz functions and its applications to determine sum rules and physical bounds for passive systems.

Electromagnetic phenomena

Herglotz functions

Passive systems

Electromagnetic wave scattering

Author

Mitja Nedic

University of Helsinki

Casimir Ehrenborg

KU Leuven

Yevhen Ivanenko

Blekinge Tekniska Högskola, BTH

Andrei Osipov

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering, Signal Processing

S. Nordebo

Linnaeus University

Annemarie Luger

Stockholm University

Lars Jonsson

Royal Institute of Technology (KTH)

D. Sjoberg

Lund University

M. Gustafsson

Lund University

Advances in Mathematical Methods for Electromagnetics

491-514

Subject Categories

Other Physics Topics

Control Engineering

Mathematical Analysis

DOI

10.1049/SBEW528E_ch20

More information

Latest update

9/13/2021